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Finding the Fourth Proportional to 4,874.70, 7,313.20 and 1,587.79

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Solution

The fourth proportional to 4,874.70, 7,313.20 and 1,587.79 is: 2,382.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874.70 : 7,313.20 = 1,587.79 : x
  2. Step 2: Convert to fraction form
    4,874.70/7,313.20 = 1,587.79/x
  3. Step 3: Cross multiply
    4,874.70x = 7,313.20 × 1,587.79
  4. Step 4: Simplify right side
    4,874.70x = 11,611,825.83
  5. Step 5: Solve for x
    x = 11,611,825.83/4,874.70
  6. Step 6: Final answer
    x = 2,382.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.